I. the present paper and we consider a class of reaction- diffusion systems based on the L.-V. differential equation model of a predator- prey interaction with the existence of memory terms. W. show that every solution with initial values in and subject to homogeneous N. boundary conditions decays to a spatially homogeneous function of time., “On Distributed Predator-Prey System with Memories”, DNC, vol. 11, no. 3, pp. 395–403, Aug. 2026, doi: 10.5890/DNC.2022.09.003.